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Finding the Third Proportional to 355,554 and 519,291

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Solution

The third proportional to 355,554 and 519,291 is: 758,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,554 : 519,291 = 519,291 : x
  2. Step 2: Convert to fraction form
    355,554/519,291 = 519,291/x
  3. Step 3: Cross multiply
    355,554x = 519,291 × 519,291
  4. Step 4: Simplify right side
    355,554x = 269,663,142,681
  5. Step 5: Solve for x
    x = 269,663,142,681/355,554
  6. Step 6: Final answer
    x = 758,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.